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Finding the Fourth Proportional to 19,894.84, 29,850.09 and 8,205.28

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Solution

The fourth proportional to 19,894.84, 29,850.09 and 8,205.28 is: 12,311.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,894.84 : 29,850.09 = 8,205.28 : x
  2. Step 2: Convert to fraction form
    19,894.84/29,850.09 = 8,205.28/x
  3. Step 3: Cross multiply
    19,894.84x = 29,850.09 × 8,205.28
  4. Step 4: Simplify right side
    19,894.84x = 244,928,346.48
  5. Step 5: Solve for x
    x = 244,928,346.48/19,894.84
  6. Step 6: Final answer
    x = 12,311.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.